145081507200 has 768 divisors, whose sum is σ = 578772480000. Its totient is φ = 31203532800.

The previous prime is 145081507171. The next prime is 145081507201. The reversal of 145081507200 is 2705180541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145081507201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254082915 + ... + 254083485.

It is an arithmetic number, because the mean of its divisors is an integer number (753610000).

Almost surely, 2^145081507200 is an apocalyptic number.

145081507200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145081507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289386240000).

145081507200 is an abundant number, since it is smaller than the sum of its proper divisors (433690972800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145081507200 is a wasteful number, since it uses less digits than its factorization.

145081507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

Adding to 145081507200 its reverse (2705180541), we get a palindrome (147786687741).

The spelling of 145081507200 in words is "one hundred forty-five billion, eighty-one million, five hundred seven thousand, two hundred".